Answer:
Step-by-step explanation:
What
Answer:
A| 12, 3
Step-by-step explanation:
The polynomial can be factored by looking for factors of 36 that sum to -15. The sum being negative while the product is positive means both factors will be negative. The answer choices suggest ...
y = (x -12)(x -3)
A quick check shows this product is ...
y = x^2 -12x -3x +36 = x^2 -15x +36 . . . . as required
The factors are zero when x is either 12 or 3.
The zeros of the equation are 12 and 3.
____
Once you realize the constants in the binomial factors both have a negative sign, you can immediately choose the correct answer (A).
Or, you can use Descartes' rule of signs, which tells you that the two sign changes in the coefficients (+-+) mean there are 2 positive real roots.
Answer: exponential decay
Step-by-step explanation:
Answer: 
Step-by-step explanation:
We have several properties of exponents in use here. The two that are used are:
<em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>
<em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>
<em />
Let's apply it!
First, let's simplify what's inside the parenthesis.
<em>(Remember, they have the same base of "x", so we can add the exponents)</em>
= 
= 
Now we have 
. Let's use the second rule.
=
Hope this helps! :^)
